5118464000 has 208 divisors, whose sum is σ = 13774640880. Its totient is φ = 1887436800.

The previous prime is 5118463997. The next prime is 5118464059. The reversal of 5118464000 is 4648115.

It can be written as a sum of positive squares in 8 ways, for example, as 2917728256 + 2200735744 = 54016^2 + 46912^2 .

It is a tau number, because it is divible by the number of its divisors (208).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6655616 + ... + 6656384.

It is an arithmetic number, because the mean of its divisors is an integer number (66224235).

Almost surely, 2^5118464000 is an apocalyptic number.

5118464000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5118464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887320440).

5118464000 is an abundant number, since it is smaller than the sum of its proper divisors (8656176880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5118464000 is an equidigital number, since it uses as much as digits as its factorization.

5118464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 5118464000 is about 71543.4413485960. The cubic root of 5118464000 is about 1723.3753800120.

The spelling of 5118464000 in words is "five billion, one hundred eighteen million, four hundred sixty-four thousand".